Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200bo |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
4090500000000 = 28 · 34 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5708,132588] |
[a1,a2,a3,a4,a6] |
j |
41141648/8181 |
j-invariant |
L |
2.9608726939388 |
L(r)(E,1)/r! |
Ω |
0.74021841387634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600j1 121200x1 |
Quadratic twists by: -4 5 |